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In allocation problems, a given set of goods are assigned to agents in such a way that the social welfare is maximised, that is, the largest possible global worth is achieved. When goods are indivisible, it is possible to use money…

Computer Science and Game Theory · Computer Science 2017-09-14 Francesco Lupia , Angelo Mendicelli , Andrea Ribichini , Francesco Scarcello , Marco Schaerf

Reinforcement learning (RL) algorithms can find an optimal policy for a single agent to accomplish a particular task. However, many real-world problems require multiple agents to collaborate in order to achieve a common goal. For example, a…

Machine Learning · Computer Science 2025-10-20 Jan Corazza , Hadi Partovi Aria , Hyohun Kim , Daniel Neider , Zhe Xu

Cooperative game theory has diverse applications in contemporary artificial intelligence, including domains like interpretable machine learning, resource allocation, and collaborative decision-making. However, specifying a cooperative game…

Computer Science and Game Theory · Computer Science 2024-12-05 Filip Úradník , David Sychrovský , Jakub Černý , Martin Černý

Training a multi-agent reinforcement learning (MARL) algorithm is more challenging than training a single-agent reinforcement learning algorithm, because the result of a multi-agent task strongly depends on the complex interactions among…

Machine Learning · Computer Science 2021-01-19 Heechang Ryu , Hayong Shin , Jinkyoo Park

Multi-agent deep reinforcement learning (MARL) suffers from a lack of commonly-used evaluation tasks and criteria, making comparisons between approaches difficult. In this work, we provide a systematic evaluation and comparison of three…

Machine Learning · Computer Science 2021-11-10 Georgios Papoudakis , Filippos Christianos , Lukas Schäfer , Stefano V. Albrecht

We study multi-agent general-sum Markov games with nonlinear function approximation. We focus on low-rank Markov games whose transition matrix admits a hidden low-rank structure on top of an unknown non-linear representation. The goal is to…

Machine Learning · Computer Science 2022-11-01 Chengzhuo Ni , Yuda Song , Xuezhou Zhang , Chi Jin , Mengdi Wang

We study a multi-agent reinforcement learning dynamics, and analyze its asymptotic behavior in infinite-horizon discounted Markov potential games. We focus on the independent and decentralized setting, where players do not know the game…

Machine Learning · Computer Science 2025-04-02 Chinmay Maheshwari , Manxi Wu , Druv Pai , Shankar Sastry

Multi-agent interactions are increasingly important in the context of reinforcement learning, and the theoretical foundations of policy gradient methods have attracted surging research interest. We investigate the global convergence of…

Optimization and Control · Mathematics 2023-03-21 Sarath Pattathil , Kaiqing Zhang , Asuman Ozdaglar

A unique challenge in Multi-Agent Reinforcement Learning (MARL) is the curse of multiagency, where the description length of the game as well as the complexity of many existing learning algorithms scale exponentially with the number of…

Machine Learning · Computer Science 2023-03-03 Yuanhao Wang , Qinghua Liu , Yu Bai , Chi Jin

Recently, deep multi-agent reinforcement learning (MARL) has shown the promise to solve complex cooperative tasks. Its success is partly because of parameter sharing among agents. However, such sharing may lead agents to behave similarly…

Machine Learning · Computer Science 2021-11-02 Chenghao Li , Tonghan Wang , Chengjie Wu , Qianchuan Zhao , Jun Yang , Chongjie Zhang

We consider the problem of learning fair policies in (deep) cooperative multi-agent reinforcement learning (MARL). We formalize it in a principled way as the problem of optimizing a welfare function that explicitly encodes two important…

Machine Learning · Computer Science 2021-06-23 Matthieu Zimmer , Claire Glanois , Umer Siddique , Paul Weng

A major challenge of multiagent reinforcement learning (MARL) is the curse of multiagents, where the size of the joint action space scales exponentially with the number of agents. This remains to be a bottleneck for designing efficient MARL…

Machine Learning · Computer Science 2021-10-28 Chi Jin , Qinghua Liu , Yuanhao Wang , Tiancheng Yu

We study the policy evaluation problem in multi-agent reinforcement learning. In this problem, a group of agents works cooperatively to evaluate the value function for the global discounted accumulative reward problem, which is composed of…

Optimization and Control · Mathematics 2019-06-04 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

This paper investigates the use of intrinsic reward to guide exploration in multi-agent reinforcement learning. We discuss the challenges in applying intrinsic reward to multiple collaborative agents and demonstrate how unreliable reward…

Artificial Intelligence · Computer Science 2019-06-06 Wendelin Böhmer , Tabish Rashid , Shimon Whiteson

Recent success in cooperative multi-agent reinforcement learning (MARL) relies on centralized training and policy sharing. Centralized training eliminates the issue of non-stationarity MARL yet induces large communication costs, and policy…

Multiagent Systems · Computer Science 2022-04-04 Dingyang Chen , Yile Li , Qi Zhang

Previous work in hierarchical reinforcement learning has faced a dilemma: either ignore the values of different possible exit states from a subroutine, thereby risking suboptimal behavior, or represent those values explicitly thereby…

Machine Learning · Computer Science 2012-07-02 Bhaskara Marthi , Stuart Russell , David Andre

The dominant framework for off-policy multi-goal reinforcement learning involves estimating goal conditioned Q-value function. When learning to achieve multiple goals, data efficiency is intimately connected with the generalization of the…

Artificial Intelligence · Computer Science 2023-06-28 Zhang-Wei Hong , Ge Yang , Pulkit Agrawal

When reward functions are hand-designed, deep reinforcement learning algorithms often suffer from reward misspecification, causing them to learn suboptimal policies in terms of the intended task objectives. In the single-agent case, inverse…

Multiagent Systems · Computer Science 2025-03-07 Nathaniel Haynam , Adam Khoja , Dhruv Kumar , Vivek Myers , Erdem Bıyık

In this paper, we propose a novel model-based multi-agent reinforcement learning approach named Value Decomposition Framework with Disentangled World Model to address the challenge of achieving a common goal of multiple agents interacting…

Machine Learning · Computer Science 2025-09-29 Zhizun Wang , David Meger

Multi-agent reinforcement learning (MARL) is a promising framework for solving complex tasks with many agents. However, a key challenge in MARL is defining private utility functions that ensure coordination when training decentralized…

Multiagent Systems · Computer Science 2022-02-17 Seung Hyun Kim , Neale Van Stralen , Girish Chowdhary , Huy T. Tran